Seminars & Colloquia Calendar

Download as iCal file

Mathematical Physics Seminar

In-Person Seminar: Shadi Tahvildar-Zadeh - Spectral lines of general-relativistic hydrogenic ions

Location:  Hill 705
Date & time: Thursday, 11 April 2024 at 12:10PM - 1:00PM

IN-PERSON MATHEMATICAL PHYSICS SEMINAR
RUTGERS UNIVERSITY

Shadi Tahvildar-Zadeh - Rutgers University

Date/Time/Location


Thursday,
April 11th, 12:10pm; Hill Center 705

Spectral lines of general-relativistic hydrogenic ions

After reviewing basics of the spectral theory for non-relativistic quantum-mechanical hamiltonians of hydrogenic ions, I discuss what impact the incorporation of additional effects such as special relativity, anomalous magnetic moment for the electron, and relativistic gravity have on self-adjointness of the hamiltonian and its spectrum.  I will show how it is possible to fully characterize the discrete energy spectrum and corresponding eigenfunctions for this hamiltonian in terms of the winding numbers of heteroclinic saddle-saddle connectors for a certain dynamical system on a finite cylinder.  This is joint work with E. Kapengut, M. Kiessling, and E. Ling.

Special Note to All Travelers

Directions: map and driving directions. If you need information on public transportation, you may want to check the New Jersey Transit page.

Unfortunately, cancellations do occur from time to time. Feel free to call our department: 848-445-6969 before embarking on your journey. Thank you.